Slow dynamics of neuronal excitability under pulse stimulation

Details Slow dynamics of neuronal excitability under pulse stimulation Slow dynamics of neuronal excitability under pulse stimulation

2011-05-06

arxiv.org/abs/1105.1275v2

Biology

Quantitative Biology

Cell Behavior

This version of the paper is now obselete. See a complete version of this paper under "Conductance-based neuron models and the

Scientific paper

Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to describe behavior at long timescales? We show here that for commonly studied neuronal models, dynamics is not chaotic and can only produce stable and periodic firing patterns. This is done by transforming the neuron model to an analytically tractable piecewise linear discrete map. Thus we answer "yes" and "no" to the above questions, respectively.

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